
Как найти х в квадрате ??????


Ответы на вопрос




X*X



Finding x in a Square Equation
To find the value of x in a square equation, we need to solve the equation for x. The general form of a square equation is ax^2 + bx + c = 0, where a, b, and c are constants.
There are several methods to solve a square equation, including factoring, completing the square, and using the quadratic formula. Let's explore each method briefly:
1. Factoring: If the equation can be factored, we can set each factor equal to zero and solve for x. However, not all square equations can be factored easily.
2. Completing the Square: This method involves transforming the equation into a perfect square trinomial and then solving for x. It is useful when factoring is not possible or convenient.
3. Quadratic Formula: The quadratic formula is a general formula that can be used to find the solutions of any square equation. It states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
By substituting the values of a, b, and c from the given equation, we can calculate the solutions for x.
Now, let's apply these methods to the specific equation you provided: x^2 + 7x - 144 = 0.
Solving x^2 + 7x - 144 = 0
To solve the equation x^2 + 7x - 144 = 0, we can use the quadratic formula. By comparing the equation with the general form ax^2 + bx + c = 0, we can see that a = 1, b = 7, and c = -144.
Substituting these values into the quadratic formula, we get:
x = (-7 ± √(7^2 - 4 * 1 * -144)) / (2 * 1)
Simplifying further:
x = (-7 ± √(49 + 576)) / 2
x = (-7 ± √625) / 2
Taking the square root of 625, we have:
x = (-7 ± 25) / 2
This gives us two possible solutions for x:
1. x = (-7 + 25) / 2 = 18 / 2 = 9 2. x = (-7 - 25) / 2 = -32 / 2 = -16
Therefore, the solutions to the equation x^2 + 7x - 144 = 0 are x = 9 and x = -16.
Please let me know if there's anything else I can help you with!


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